Question

Factor completely.

24x^2+6

Answer 1

[AI-generated answer — Bot GPT 3.5]

First, we can factor out a common factor of 6 from each term:

6(4x^2 + 1)

Next, we can notice that the expression inside the parentheses is a perfect square trinomial. The square root of 4x^2 is 2x, and the square root of 1 is 1. Therefore, we can write the trinomial as the square of a binomial:

6(2x + 1)(2x - 1)

So the completely factored form is 6(2x + 1)(2x - 1).